1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sergeeva-Olga [200]
3 years ago
10

Write down in terms of n, an expression for the nth term

Mathematics
2 answers:
Hatshy [7]3 years ago
8 0

Answer:

The nth term will be:

a_n=-5n+30

Step-by-step explanation:

Given the sequence

25, 20, 15, 10, 5​

An Arithmetic sequence has a constant difference 'd' and is defined by

a_n=a_1+\left(n-1\right)d

Computing the common difference of all the adjacent terms

25,\:20,\:15,\:10,\:5

20-25=-5,\:\quad \:15-20=-5,\:\quad \:10-15=-5,\:\quad \:5-10=-5

As the difference between all the adjacent terms is the same and equal to

d=-5

Also, the first term is:

a_1=25

Hence, the nth term will be:

a_n=a_1+\left(n-1\right)d

a_n=-5\left(n-1\right)+25        ∵ a_1=25, d=-5

a_n=-5n+30

Therefore, the nth term will be:

a_n=-5n+30

pshichka [43]3 years ago
5 0

Answer:

Solution,

First term (a) = 25

Common difference (d) = Second term - first term = 20 - 25 = -5

Now,

nth term = a + (n - 1)d = 25 + (n - 1) (-5) = 25 - 5n +5 = 30 - 5n

The nth term of the series is 30 - 5n

You might be interested in
Miguel has $20. He spends $6.50 on a movie ticket, $3.80 for snacks, and $1.50 for bus fare each way.
damaskus [11]
Miguel has 8$ left and 2 cent
7 0
3 years ago
Read 2 more answers
Need help please help!!!!
MatroZZZ [7]

Answer:

draw ka ng teyboll

Step-by-step explanation:

sana maka tulong

8 0
2 years ago
Rationalize the denominator of square root of negative 9 over open parentheses 4 minus 7 i close parentheses minus open parenthe
svetlana [45]
First we combine the parenthesis to get 9/(-2-i)  then we multiply both the numerator and the denomenator by the conjugate of -2-i (whic is -2+i) to get (-18+9i)/5
3 0
3 years ago
Find the sum : 1/2( x+7) = 32
Gennadij [26K]

Answer:

x=52

I think it is the answer

4 0
3 years ago
Read 2 more answers
One pattern believe fabric sells for $15 for every 2 yards, and another sells for 37.50 every 5 yards do these fabrics have the
Elenna [48]
We need to find out how much is worth one yard in both fabrics, so we divide $15.00 by 2 and $37.50 by 5:

$15.00 ÷ 2 = $7.50 per yard
$37.50 ÷ 5 = $7.50 per yard

As both prices per yard are the same, the answer is: <span>Yes, these fabrics have the same unit cost.</span>

5 0
3 years ago
Other questions:
  • You want to build a fence around a square garden that covers 506.25 ft^2. How many feet of fence will you need to complete the j
    15·1 answer
  • Holly's favorite book is about Johnny Appleseed, the American pioneer who planted apple trees all across the country. Inspired b
    12·2 answers
  • Using the coordinates of two points (84, 80) and (74, 65), determine the slope of the line of best fit.
    12·2 answers
  • NUMBER 64 Elijah is selling coupon books for a school fund raiser. The coupon books sell for $ 1 1 . The school
    6·1 answer
  • Find BC if B(8, -7) and C(-4,-2)
    14·1 answer
  • What is 3/7 + 2/3. Remember the denominators are different.
    15·1 answer
  • Bar Model<br>Math show me 8÷2=4​
    7·1 answer
  • Which ordered pair satisfies the equation y =(-5)? A.(-6,1) B. (-2,7) C.(2,-7) D.(-1,-6)​
    12·1 answer
  • Given 5 blue marbles, 3 red marbles and 2 white marbles. Find the probability of choosing a red marble given that its not white
    5·1 answer
  • Can someone help me with this thank you
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!